{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import module"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pylab \n",
    "import scipy.stats as stats"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import RAW csv file\n",
    "\n",
    "https://finance.yahoo.com/quote/%5EGSPC/history?period1=631123200&period2=1539187200&interval=1d&filter=history&frequency=1d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv('GSPC.csv')\n",
    "data.index = pd.to_datetime(data.Date, format='%Y-%m-%d')\n",
    "data.drop(['Date'], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7252, 6)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Adj Close</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1990-01-02</th>\n",
       "      <td>353.399994</td>\n",
       "      <td>359.690002</td>\n",
       "      <td>351.980011</td>\n",
       "      <td>359.690002</td>\n",
       "      <td>359.690002</td>\n",
       "      <td>162070000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990-01-03</th>\n",
       "      <td>359.690002</td>\n",
       "      <td>360.589996</td>\n",
       "      <td>357.890015</td>\n",
       "      <td>358.760010</td>\n",
       "      <td>358.760010</td>\n",
       "      <td>192330000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990-01-04</th>\n",
       "      <td>358.760010</td>\n",
       "      <td>358.760010</td>\n",
       "      <td>352.890015</td>\n",
       "      <td>355.670013</td>\n",
       "      <td>355.670013</td>\n",
       "      <td>177000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990-01-05</th>\n",
       "      <td>355.670013</td>\n",
       "      <td>355.670013</td>\n",
       "      <td>351.350006</td>\n",
       "      <td>352.200012</td>\n",
       "      <td>352.200012</td>\n",
       "      <td>158530000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1990-01-08</th>\n",
       "      <td>352.200012</td>\n",
       "      <td>354.239990</td>\n",
       "      <td>350.540009</td>\n",
       "      <td>353.790009</td>\n",
       "      <td>353.790009</td>\n",
       "      <td>140110000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  Open        High         Low       Close   Adj Close  \\\n",
       "Date                                                                     \n",
       "1990-01-02  353.399994  359.690002  351.980011  359.690002  359.690002   \n",
       "1990-01-03  359.690002  360.589996  357.890015  358.760010  358.760010   \n",
       "1990-01-04  358.760010  358.760010  352.890015  355.670013  355.670013   \n",
       "1990-01-05  355.670013  355.670013  351.350006  352.200012  352.200012   \n",
       "1990-01-08  352.200012  354.239990  350.540009  353.790009  353.790009   \n",
       "\n",
       "               Volume  \n",
       "Date                   \n",
       "1990-01-02  162070000  \n",
       "1990-01-03  192330000  \n",
       "1990-01-04  177000000  \n",
       "1990-01-05  158530000  \n",
       "1990-01-08  140110000  "
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data.index, data['Adj Close'])\n",
    "plt.xlabel('Year')\n",
    "plt.ylabel('Price')\n",
    "plt.legend(['SPY'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Check for normal distribution\n",
    "Have a look at the distribution of our price change"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((array([-3.73039803, -3.50069273, -3.37436547, ...,  3.37436547,\n",
       "          3.50069273,  3.73039803]),\n",
       "  array([-0.09034978, -0.08929524, -0.08806776, ...,  0.07075755,\n",
       "          0.10789006,  0.11580037])),\n",
       " (0.010541411804678429, 0.00034319177407760216, 0.9555978902748354))"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data['pct_chg'] = data['Adj Close'].pct_change()[1:]\n",
    "data.dropna(inplace=True, axis=0)\n",
    "\n",
    "stats.probplot(data['pct_chg'], dist=\"norm\", plot=pylab)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Log transformation\n",
    "Though the target variable is not normally distributed, as long as the residuals are normally dis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((array([-3.73032853, -3.50061921, -3.37428954, ...,  3.37428954,\n",
       "          3.50061921,  3.73032853]),\n",
       "  array([-0.09469512, -0.09353652, -0.09218959, ...,  0.06836639,\n",
       "          0.10245736,  0.10957197])),\n",
       " (0.010546093319435235, 0.00028393487268674845, 0.955194568394382))"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data['lrets'] = np.log(data['Adj Close']/data['Adj Close'].shift(1))\n",
    "data.dropna(inplace=True, axis=0)\n",
    "stats.probplot(data['lrets'], dist=\"norm\", plot=pylab)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Technical indicator \n",
    "- MACD (Trend)\n",
    "- Stochastics (Momentum)\n",
    "- Average True Range (Volume)\n",
    "\n",
    "Similar code from https://github.com/alberduris/SirajsCodingChallenges/tree/master/Stock%20Market%20Prediction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MACD: \n",
    "\n",
    "The Moving Average Convergence/Divergence oscillator (MACD) is one of the simplest and most effective momentum indicators available. The MACD turns two trend-following indicators, moving averages, into a momentum oscillator by subtracting the longer moving average from the shorter moving average."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def MACD(df, period1, period2, periodSignal):\n",
    "    EMA1 = pd.DataFrame.ewm(df,span=period1).mean() # Provides exponential weighted functions\n",
    "    EMA2 = pd.DataFrame.ewm(df,span=period2).mean() \n",
    "    \n",
    "    MACD = EMA1-EMA2\n",
    "    Signal = pd.DataFrame.ewm(MACD,periodSignal).mean()\n",
    "    \n",
    "    Histogram = MACD-Signal\n",
    "    return Histogram"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stochastics oscillator: \n",
    "\n",
    "The Stochastic Oscillator is a momentum indicator that shows the location of the close relative to the high-low range over a set number of periods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def stochastics_oscillator(df,period):\n",
    "    l, h = pd.DataFrame.rolling(df, period).min(), pd.DataFrame.rolling(df, period).max()\n",
    "    k = 100 * (df - l) / (h - l)\n",
    "    return k"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Average True Range: \n",
    "\n",
    "Is an indicator to measure the volalitility (NOT price direction). The largest of:\n",
    "\n",
    "Method A: Current High less the current Low\n",
    "Method B: Current High less the previous Close (absolute value)\n",
    "Method C: Current Low less the previous Close (absolute value)\n",
    "\n",
    "Will use EGARCH to find volatility in the future"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def ATR(df,period):\n",
    "    '''\n",
    "    Method A: Current High less the current Low\n",
    "    '''\n",
    "    df['H-L'] = abs(df['High']-df['Low'])\n",
    "    df['H-PC'] = abs(df['High']-df['Close'].shift(1))\n",
    "    df['L-PC'] = abs(df['Low']-df['Close'].shift(1))\n",
    "    TR = df[['H-L','H-PC','L-PC']].max(axis=1)\n",
    "    return TR.to_frame()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Combine it all"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date\n",
       "2018-10-02    -3.165455\n",
       "2018-10-05    -5.849199\n",
       "2018-10-08    -7.839346\n",
       "2018-10-09    -9.479757\n",
       "2018-10-10   -17.312894\n",
       "dtype: float64"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "macd = MACD(data['Adj Close'], 12, 26,9)\n",
    "macd.rename(columns={'Close':'MACD'}, inplace=True)\n",
    "macd.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1512x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(21,7))\n",
    "plt.plot(macd,label='macd',color='red')\n",
    "plt.title('MACD')\n",
    "plt.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Date\n",
       "2018-10-02    82.921023\n",
       "2018-10-05     0.000000\n",
       "2018-10-08     0.000000\n",
       "2018-10-09     0.000000\n",
       "2018-10-10     0.000000\n",
       "dtype: float64"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stochastics = stochastics_oscillator(data['Adj Close'], 14)\n",
    "stochastics.rename(columns={'Close':'Stochastics'}, inplace=True)\n",
    "stochastics.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1512x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(21,7))\n",
    "plt.plot(stochastics[-100:],label='Stochastics Oscillator',color='blue')\n",
    "plt.title('Stochastics Oscillator')\n",
    "plt.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ATR</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2018-10-02</th>\n",
       "      <td>17.439942</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-05</th>\n",
       "      <td>54.139893</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-08</th>\n",
       "      <td>27.369873</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-09</th>\n",
       "      <td>20.560058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-10</th>\n",
       "      <td>95.479981</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  ATR\n",
       "Date                 \n",
       "2018-10-02  17.439942\n",
       "2018-10-05  54.139893\n",
       "2018-10-08  27.369873\n",
       "2018-10-09  20.560058\n",
       "2018-10-10  95.479981"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "atr = ATR(data,14)\n",
    "atr.rename(columns={0:'ATR'}, inplace=True)\n",
    "atr.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1512x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(21,7))\n",
    "plt.plot(atr[-100:],label='ATR',color='green')\n",
    "plt.title('Average True Range')\n",
    "plt.legend(loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = pd.concat([data, macd, stochastics, atr], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.rename(columns={0:'MACD', 1:'stochastics'}, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Adj Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>lrets</th>\n",
       "      <th>MACD</th>\n",
       "      <th>stochastics</th>\n",
       "      <th>ATR</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2018-10-02</th>\n",
       "      <td>2923.800049</td>\n",
       "      <td>2931.419922</td>\n",
       "      <td>2919.370117</td>\n",
       "      <td>2923.429932</td>\n",
       "      <td>2923.429932</td>\n",
       "      <td>3401880000</td>\n",
       "      <td>-0.000397</td>\n",
       "      <td>-3.165455</td>\n",
       "      <td>82.921023</td>\n",
       "      <td>17.439942</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-05</th>\n",
       "      <td>2902.540039</td>\n",
       "      <td>2909.639893</td>\n",
       "      <td>2869.290039</td>\n",
       "      <td>2885.570068</td>\n",
       "      <td>2885.570068</td>\n",
       "      <td>3328980000</td>\n",
       "      <td>-0.005543</td>\n",
       "      <td>-5.849199</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>54.139893</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-08</th>\n",
       "      <td>2877.530029</td>\n",
       "      <td>2889.449951</td>\n",
       "      <td>2862.080078</td>\n",
       "      <td>2884.429932</td>\n",
       "      <td>2884.429932</td>\n",
       "      <td>3330320000</td>\n",
       "      <td>-0.000395</td>\n",
       "      <td>-7.839346</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>27.369873</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-09</th>\n",
       "      <td>2882.510010</td>\n",
       "      <td>2894.830078</td>\n",
       "      <td>2874.270020</td>\n",
       "      <td>2880.340088</td>\n",
       "      <td>2880.340088</td>\n",
       "      <td>3520500000</td>\n",
       "      <td>-0.001419</td>\n",
       "      <td>-9.479757</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>20.560058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-10</th>\n",
       "      <td>2873.899902</td>\n",
       "      <td>2874.020020</td>\n",
       "      <td>2784.860107</td>\n",
       "      <td>2785.679932</td>\n",
       "      <td>2785.679932</td>\n",
       "      <td>4501250000</td>\n",
       "      <td>-0.033416</td>\n",
       "      <td>-17.312894</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>95.479981</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   Open         High          Low        Close    Adj Close  \\\n",
       "Date                                                                          \n",
       "2018-10-02  2923.800049  2931.419922  2919.370117  2923.429932  2923.429932   \n",
       "2018-10-05  2902.540039  2909.639893  2869.290039  2885.570068  2885.570068   \n",
       "2018-10-08  2877.530029  2889.449951  2862.080078  2884.429932  2884.429932   \n",
       "2018-10-09  2882.510010  2894.830078  2874.270020  2880.340088  2880.340088   \n",
       "2018-10-10  2873.899902  2874.020020  2784.860107  2785.679932  2785.679932   \n",
       "\n",
       "                Volume     lrets       MACD  stochastics        ATR  \n",
       "Date                                                                 \n",
       "2018-10-02  3401880000 -0.000397  -3.165455    82.921023  17.439942  \n",
       "2018-10-05  3328980000 -0.005543  -5.849199     0.000000  54.139893  \n",
       "2018-10-08  3330320000 -0.000395  -7.839346     0.000000  27.369873  \n",
       "2018-10-09  3520500000 -0.001419  -9.479757     0.000000  20.560058  \n",
       "2018-10-10  4501250000 -0.033416 -17.312894     0.000000  95.479981  "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.drop(['pct_chg', 'H-L', 'H-PC', 'L-PC'], axis=1 , inplace=True)\n",
    "data.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Export it as HDF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data.to_hdf('technical500.h5', key='data')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#import matplotlib.pyplot as plt\n",
    "#import pandas as pd\n",
    "#import numpy as np \n",
    "\n",
    "#data = pd.read_hdf('technical500.h5', 'data')\n",
    "\n",
    "#plt.figure(figsize=(21,7))\n",
    "#plt.plot(data.index[-180:], np.expm1(data['lrets'][-180:]), color='red', label='Prediction')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
